2056384512 has 312 divisors, whose sum is σ = 7322622944. Its totient is φ = 541458432.

The previous prime is 2056384493. The next prime is 2056384513. The reversal of 2056384512 is 2154836502.

2056384512 is a `hidden beast` number, since 2 + 0 + 5 + 63 + 84 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×2056384512² = 8457434522386956288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056384513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354318 + ... + 3354930.

Almost surely, 2^2056384512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661311472).

2056384512 is an abundant number, since it is smaller than the sum of its proper divisors (5266238432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2056384512 is a wasteful number, since it uses less digits than its factorization.

2056384512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2056384512 is about 45347.3760211106. The cubic root of 2056384512 is about 1271.6515005880.

The spelling of 2056384512 in words is "two billion, fifty-six million, three hundred eighty-four thousand, five hundred twelve".